AnswersCR CCSS Math 2 S2 M2960OXProving a Quadrilateral Is a Parallelogram

Figures in the Coordinate Plane Answers

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On a coordinate plane, parallelogram H I J K is shown. Point H is at (negative 2, 2), point I is at (4, 3), point J is at (4, negative 2), and point K is at (negative 2, negative 3).

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(1,−1)
B
(1,1)
C
(1,0)
D
(0,1)
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On a coordinate plane, trapezoid K L M N is shown. Point K is at (negative 2, negative 4), point L is at (negative 4, negative 2), point M is at (negative 2, negative 1), and point N is at (negative 1, negative 2).

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On a coordinate plane, rectangle W X Y Z is shown. Point W is at (negative 6, 6), point X is at (negative 4, 0), point Y is at (negative 7, negative 1), and point Z is at (negative 9, 5).

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4

The vertices of a quadrilateral in the coordinate plane are known. How can the perimeter of the figure be found?

A
Use the distance formula to find the length of each side, and then add the lengths.
B
Use the slope formula to find the slope of each of side, and then determine if the opposite sides are parallel.
C
Use the slope formula to find the slope of each of side, and then determine if the consecutive sides are perpendicular.
D
Use the distance formula to find the length of the sides, and then multiply two of the side lengths.
5

On a coordinate plane, kite W X Y Z is shown. Point W is at (negative 3, 3), point X is at (2, 3), point Y is at (4, negative 4), and point Z is at (negative 3, negative 2).

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On a coordinate plane, rhombus A B C D is shown. Point A is at (1, 1), point B is at (negative 2, negative 3), point C is at (negative 5, 1), and point D is at (negative 2, 5).

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10 units
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20 units
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units
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units
Option D
7

On a coordinate plane, triangle A B C is shown. Point A is at (negative 1, 6), point B is at (negative 1, 1), and point C is at (2, 2).

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5 + units
Option A
B
units
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C
10 + units
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D
15 units
8

LMNP is a parallelogram.

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A
The length of LM is and the length of MN is .
Option A
B
The slope of LP and MN is –2.
C
LM ∥ PN
D
LP ⊥ PN
9

In the diagram, WZ=.

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On a coordinate plane, triangle A B C is shown. Point A is at (3, 4), point B is at (negative 5, negative 2), and point C is at (5, negative 2).

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A
10 units
B
10 + units
Option B
C
20 units
D
20 + units
Option D

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